Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
First find the slope of the line containing points (5,4) and (-7,9). To find the slope use the formula [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. Putting those values in, you have
[tex]\frac{9-4}{-7-5}[/tex]
Simplify
[tex]\frac{5}{-12}[/tex]
[tex]-\frac{5}{12}[/tex]
Then, to find the slope of the line perpendicular to that, find the negative reciprocal.
[tex]\frac{12}{5}[/tex]
